$6$ powers of $2$ in the Linnik--Goldbach problem

Huixi Li; Zhixin Liu

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arXiv · 2610.15784

$6$ powers of $2$ in the Linnik--Goldbach problem

Huixi Li·Zhixin Liu

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Abstract

Linnik's approximation to Goldbach's conjecture concerns the representation of sufficiently large even integers as the sum of two primes and a bounded number of powers of two. We prove that $6$ powers of $2$ suffice unconditionally and that $5$ suffice under the GRH, improving previous works.

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BibTeX RIS

Huixi Li, Zhixin Liu. 2026-10-11. $6$ powers of $2$ in the Linnik--Goldbach problem. https://arxiv.org/abs/2610.15784

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